A class of counter-examples to the hypersection problem based on forcing equations
Complex Variables
2007-05-23 v1 Algebraic Geometry
Abstract
We give a class of three-dimensional Stein spaces W together with a hypersurface H, such that the complement W-H is not Stein, but such that for every analytic surface S \subset W the complement S-S \cap H is Stein. This class is constructed using forcing equations and gives new counter-examples to the hypersection problem.
Keywords
Cite
@article{arxiv.math/0209304,
title = {A class of counter-examples to the hypersection problem based on forcing equations},
author = {Holger Brenner},
journal= {arXiv preprint arXiv:math/0209304},
year = {2007}
}
Comments
5 pages, to appear in Archiv der Mathematik